List of top Mathematics Questions

The mean of coefficients of \(x, x^2, ....., x^7\) in the binomial expansion of \((2 + x)^9\) is?

The inverse of a function: \(x=\sqrt{3y+9}\) is
If 8=4" 2 and, x+2y+z=35 then the value of x is:
The values of M and N, which satisfy the equation M-N+9=0 and M+3N=19, are respectively:
The product of LCM and HCF of any two expression is x-xy+xy-y first expression is (x2+y2) then the second expression will be:
The sum of money, which will amount to Rs.16,810 in 6 months at the rate of 10% per annum when the interest is compounded quarterly is:
In how many time will a sum of money doubles itself at 7 1/2 % imple interest per annum:
Let $S=\{1,2,3,4,5,6\}$ Then the number of one-one functions $f: S \rightarrow P ( S )$, where $P ( S )$ denote the power set of $S$, such that $f(m) \subset f(m)$ where $n < m$ is _______
Let \(α_1,α_2,….,α_7\) be the roots of the equation \(𝑥^7+3𝑥^5−13𝑥^3−15𝑥=0\) and \(|α_1|≥|α_2|≥⋯≥ |α_7|\). Then \(α_1α_2−α_3α_4+α_5α_6\) is equal to ____.
Area bounded by the curve 2y2 = 3x and the line x+y = 3 outside the circle (x-3)2 + y2 = 2 and above the x-axis is A. The value of 4(π +4A) is?
$2 \sin \left(\frac{\pi}{22}\right) \sin \left(\frac{3 \pi}{22}\right) \sin \left(\frac{5 \pi}{22}\right) \sin \left(\frac{7 \pi}{22}\right) \sin \left(\frac{9 \pi}{22}\right)$is equal to
Let \(X\) be the set of all five-digit numbers formed using \(1,2,2,2,2,4,4,0\). for example \(22240\) is in \(X\) while \(02244\) and \(44422\) are not in \(X\). Suppose that each element of \(X\) has an equal chance of being chosen. Let \(p\) be the conditional probability that a component chosen at random is a multiple of \(20 \) given that it is a multiple of \(5\). Then the numerous of \(38p\) is equal to
5 boys with allotted roll numbers and seat numbers are seated in such a way that no one sits on the allotted seat. The number of such seating arrangements is?
If ${ }^{2 n+1} P _{n-1}:{ }^{2 n-1} P _n=11: 21$, then $n^2+n+15$ is equal to :
If (i) A=\(\begin{bmatrix} \cos\alpha & \sin\alpha\\ -\sin\alpha & \cos\alpha \end{bmatrix}\),then verify that A'A=I
(ii) A= \(\begin{bmatrix} \sin\alpha & \cos\alpha\\ -\cos \alpha & \sin\alpha \end{bmatrix}\),then verify that A'A=I
If the constant term in the binomial expansion of $\left(\frac{x^{\frac{3}{2}}}{2}-\frac{4}{x^l}\right)^9$ is $-84$ and the coefficient of $x^{-3 l}$ is $2^\alpha \beta$, where $\beta<0$ is an odd number, then $|\alpha l-\beta|$ is equal to_____

Let A=\(\begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}\),show that(aI+bA)n=anI+nan-1bA,where I is the identity matrix of order 2 and n∈N

Let the number of matrices of order 3 x 3 are possible using the digits [0, 1, 2, 3, … , 10) is mn, then (m + n) is ___. (where m is a prime number)
If \(y = max \{ {\sqrt{x}, x^2-4, x^3+2}\}\), then the number of solution(s) of y=1 is/are____?

Matrix A is 2×2 matrix and A2=I, no elements of the matrix are zero, let the sum of diagonal elements is a and det(A)=b, then the value of 3a2+b2 is?

The number of points of non-differentiability of the function f(x) = [4 + 13sinx] in (0, 2𝜋) is ____.

Maximum value n such that (66)! is divisible by 3n

Find the coefficient of \(\frac{y^3}{x^8}\) in \((x+y)^{-5}\) ?
If one ticket is randomly selected from tickets numbered 1-30 then find the probability that the number on the ticket is a multiple of 3 or 5?
Find the circumradius if 2 is the side of the triangle with the opposite angle \(\frac{\pi}{3}\).